All categories

3 years ago

Adrian has a points card for a movie theater.

Mathematics

1 answer:

ANEK [815]3 years ago

6 0

Answer: v ≥ 6

This means that Adrian needs to do at least 6 visits.

Step-by-step explanation:

First, we know that he gets 20 points just for signing up, so he starts with 20 points.

Now, if he makes v visits, knowing that he gets 2.5 points per visit, he will have a total of:

20 + 2.5*v

points.

And he needs to get at least 35 points, then the total number of points must be such that:

points ≥ 35

and we know that:

points = 20 + 2.5*v

then we have the inequality:

20 + 2.5*v ≥ 35

Now we can solve this for v, so we need to isolate v in one side of the equation:

2.5*v ≥ 35 - 20 = 15

2.5*v ≥ 15

v ≥ 15/2.5 = 6

v ≥ 6

So he needs to make at least 6 visits.

You might be interested in

Expand to write an equivalent expression… 1/2(-4x + 2y)

Rashid [163]

-2x+y. You have to distribute 1/2 to -4x and 2y which will get -2x+ y as a expanded version

7 0

3 years ago

Mrs Johnson has $110 to spend on parking will cost $12 and admission tickets will cost $140 per person including tax

Vaselesa [24]

The answer is Ms Hernandez can bring up to 6 people to the zoo.

x - the number of people that she can bring to the zoo

The parking will cost $7: a = 7

Admission tickets will cost $15.50 per person: b = 15.50x

She can spend on parking and admission tickets $100:

a + b ≤ 100

a = 7

b = 15.50x

7 + 15.50x ≤ 100

15.50x ≤ 100 - 7

15.50x ≤ 93

x ≤ 93 / 15.50

x ≤ 6

5 0

4 years ago

The value 13 is 200% of

tia_tia [17]

This would be in terms of dividing the largest number (being 13) by the percentage in decimal form.

The percentage worked where you take that and divide by 100 to get your percentage, meaning:

13/2 = 6.5 | 13 is 200% of 6.5. Because if you double it you get 13 which is how 200% works.

I hope this helps, have a great rest of your day! ^ ^
| | Ghostgate | |

3 0

3 years ago

It takes 1.5 cups of flour to make 1 dozen Mini Cupcakes. How many cups of flour are needed ti make 3 dozen cupcakes?

ira [324]

4.5 cups for 3 dozen

8 0

4 years ago

Read 2 more answers

A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The St

bogdanovich [222]

Answer:

a) p*n = 46 and q*n = 454 data is enough for inference

b) CI = ( 0,099 ; 0,141)

c) CI we will find with 90% of confidence the value of p in that interval

d) No, we accept H₀ we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education

Step-by-step explanation:

Information from A state´s Department of Education is:

p₀ = 12 % p₀ = 0,12

The State University sample:

Sample size n = 500

Sample proportion 46 out of 500

p = 46/500 p = 0,092 then q = 1- p q = 1 - 0,092 q = 0,908

Both p*n = 46 and q*n = 454

a) Are big enough to approximate the binomial distribution to normal distribution

b) CI = 90% CI = 0,9 significance level α = 0,10 for an CI we need

α/2 = 0,10/2 α/2 = 0,05

z(c) = - 1,64 ( from z-table)

MOE = z(c)*√(p*q)/n

MOE = 1,64 * √ ( 0,092*0,908)/500

MOE = 1,64 *√0,08353/500

MOE = 1,64 * 0,0129

MOE = 0,021

Then CI = 90 % is:

CI = ( 0,12 - 0,021 < P < 0,12 + 0,021 )

CI = ( 0,099 ; 0,141)

We have with 90 % of confidence for finding the value of p in the interval

Test Hypothesis

Null Hypothesis H₀ p = p₀

Alternative Hypothesis Hₐ p < p₀

we have for α = 0,1 z(c) = - 2,32 from z table

And z(s) = ( p - p₀ ) / √ (p*q)/n

z(s) = ( 0,092 - 0,12 ) / √(0,092*0,908)/500

z(s) = - 0,028 / 0,0129

z(s) = - 2,17

Comparing z(s) and z(c) we see that

|z(s)| < |z(c)|

So z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education

4 0

3 years ago